101001123 has 12 divisors (see below), whose sum is σ = 147649320. Its totient is φ = 66522336.

The previous prime is 101001091. The next prime is 101001133. The reversal of 101001123 is 321100101.

It is not a de Polignac number, because 101001123 - 2⁵ = 101001091 is a prime.

It is a super-2 number, since 2×101001123² = 20402453694522258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101001133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66858 + ... + 68351.

It is an arithmetic number, because the mean of its divisors is an integer number (12304110).

Almost surely, 2^101001123 is an apocalyptic number.

101001123 is a deficient number, since it is larger than the sum of its proper divisors (46648197).

101001123 is a wasteful number, since it uses less digits than its factorization.

101001123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135298 (or 135295 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101001123 is about 10049.9314923038. The cubic root of 101001123 is about 465.7026767877.

Adding to 101001123 its reverse (321100101), we get a palindrome (422101224).

It can be divided in two parts, 101001 and 123, that added together give a square (101124 = 318²).

The spelling of 101001123 in words is "one hundred one million, one thousand, one hundred twenty-three".